Charlene Kalle

activity

20082024

most citedBeta-expansions, natural extensions and multiple tilings associated with Pisot units

29 citations · 68 across the 21 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.NT2016★ 2 cited

On the bifurcation set of unique expansions

Charlene Kalle, Derong Kong, Wenxia Li +1

Given a positive integer $M$ , for $q \in (1, M + 1]$ let $U_{q}$ be the set of $x \in [0, M / (q - 1)]$ having a unique $q$ -expansion with the digit set ${0, 1, \dots, M}$ , and l…

math.DS2016

Matching for generalised $β$ -transformations

Henk Bruin, Carlo Carminati, Charlene Kalle

We investigate matching for the family $T_{α} (x) = β x + α (mod 1)$ , $α \in [0, 1]$ , for fixed $β > 1$ . Matching refers to the property that there is an $n \in N$ such that $T_α^n…

On the bifurcation set of unique expansions

Matching for generalised β-transformations

Matching for generalised $β$ -transformations